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Finding the Third Proportional to 34,006.50 and 72,063

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Solution

The third proportional to 34,006.50 and 72,063 is: 152,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.50 : 72,063 = 72,063 : x
  2. Step 2: Convert to fraction form
    34,006.50/72,063 = 72,063/x
  3. Step 3: Cross multiply
    34,006.50x = 72,063 × 72,063
  4. Step 4: Simplify right side
    34,006.50x = 5,193,075,969
  5. Step 5: Solve for x
    x = 5,193,075,969/34,006.50
  6. Step 6: Final answer
    x = 152,708.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.